(a) Should a chi-square test for independence or a chi-square test for homogeneity be used in this setting? Explain your reasoning. (b) State an appropriate pair of hypotheses for researchers to test in this setting. OBFW High School Publishers 2020 (c) Which cell contributes most to the chi-square test statistic? In what way does this cell differ from what the null hypothesis suggests? (d) Interpret the P-value in context. What conclusion would you draw at a=0.01?
(a) Should a chi-square test for independence or a chi-square test for homogeneity be used in this setting? Explain your reasoning. (b) State an appropriate pair of hypotheses for researchers to test in this setting. OBFW High School Publishers 2020 (c) Which cell contributes most to the chi-square test statistic? In what way does this cell differ from what the null hypothesis suggests? (d) Interpret the P-value in context. What conclusion would you draw at a=0.01?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:M
Are you headed for college?
Choosing the right type of chi-square test
No
Going to college?
Yes
Chi-Square Test: Student, Teacher
Expected counts are printed below observed counts
Chi-Square contributions are printed below expected counts
Student
Teacher
Total
14
20.5-
Student
2.061
36-
PROBLEM:
A curious AP® Statistics student wondered if students in her high school would respond
differently to a teacher than to a student when asked about their intention to go to college
after high school. One hundred students from her high school volunteered to participate in
an experiment, and they were randomly assigned to have either a student or a teacher
interview them. This two-way table summarizes the data.
Interviewer
Teacher
27
20.5
2.061
400-
Yes
14
27
No
36
23
Total
50
50
100
Assume that the conditions for performing inference are met. Minitab output for a chi-
square test using these data is shown.
23
29.5
1.432
50
200-
Total
41
6
SKILLS 1.E, 4.E
.
Total
41
59
•
59
100
20
40
60
80
29.5
1.432
50
Chi-Sq = 6.986, DF = 1, P-Value = 0.008
(a) Should a chi-square test for independence or a chi-square test for homogeneity be used
in this setting? Explain your reasoning.
(b) State an appropriate pair of hypotheses for researchers to test in this setting.
100
OBFW High School Publishers 2020
(c) Which cell contributes most to the chi-square test statistic? In what way does this cell
differ from what the null hypothesis suggests?
(d) Interpret the P-value in context. What conclusion would you draw at a=0.01?
with a
jal
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman